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Gre4nikov [31]
2 years ago
8

What is an equation of the line that passes through the points (3, 4) and (-4, -3)?

Mathematics
1 answer:
Rudik [331]2 years ago
7 0

Answer:

(7,7)

Step-by-step explanation:

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Photo has the answer

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2 years ago
Given that 110ₓ = 40₅ , find the value of x.
MrRa [10]

Answer:

x = 4

Step-by-step explanation:

110ₓ = 40₅    --------- change all to base ten.

<u>the system called binary</u>

1x²+1x ¹+0x⁰ = 45¹+0*5⁰

x² + x + 0 = 20

x² + x – 20 = 0

solve x using Quadratic equation

        -1 ± \sqrt{1^2 - 4* 1 (-20)}

x =  ------------------------------------

                        2 * 1

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3 0
2 years ago
The sum of three consecutive even integers is 108. What is the largest number?
horrorfan [7]

Answer:

The largest of three numbers  is 38.

Step-by-step explanation:

Given : The sum of three consecutive even integers is 108.

We have to find the largest of three consecutive even integer.

Consecutive integers are integer having a difference of one between each term . example 14 , 15, 16 ..

consecutive even integers are integers having a difference of two between them such that first term is in the form of 2n , where n is integers.

Consider the three consecutive even integers are 2n , 2n + 2 , 2n + 4

Also, given The sum of three consecutive even integers is 108.

that is 2n + 2n + 2 + 2n + 4 = 108

Simplify, we get,

6n + 6 = 108

Subtract 6 both side, we get,

6n = 102

Divide by 6 both side, we get,

n = 17

Thus, numbers are 2n = 2 × 17 = 34

2n + 2 = 34 + 2 = 36

2n + 4 = 34 + 4 = 38

Thus, The sum of three consecutive even integers is 108 then integers are 34, 36, 38 .

Thus, The largest of three numbers  is 38.

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